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Finding the Fourth Proportional to 6,858.76, 10,278.06 and 3,738.28

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Solution

The fourth proportional to 6,858.76, 10,278.06 and 3,738.28 is: 5,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.76 : 10,278.06 = 3,738.28 : x
  2. Step 2: Convert to fraction form
    6,858.76/10,278.06 = 3,738.28/x
  3. Step 3: Cross multiply
    6,858.76x = 10,278.06 × 3,738.28
  4. Step 4: Simplify right side
    6,858.76x = 38,422,266.14
  5. Step 5: Solve for x
    x = 38,422,266.14/6,858.76
  6. Step 6: Final answer
    x = 5,601.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.